#pragma GCC optimize ("O2") #pragma GCC target ("avx2") #include using namespace std; typedef long long ll; #define rep(i, n) for(int i = 0; i < (n); i++) #define rep1(i, n) for(int i = 1; i <= (n); i++) #define co(x) cout << (x) << "\n" #define cosp(x) cout << (x) << " " #define ce(x) cerr << (x) << "\n" #define cesp(x) cerr << (x) << " " #define pb push_back #define mp make_pair #define chmin(x, y) x = min(x, y) #define chmax(x, y) x = max(x, y) #define Would #define you #define please const int SZ = 300000; class UF { public: int P[SZ + 1]; UF() : P() { rep1(i, SZ) P[i] = -1; } int find(int A) { if (P[A] < 0) return A; return P[A] = find(P[A]); } bool unite(int A, int B) { int a = find(A); int b = find(B); if (a == b) return false; if (P[a] > P[b]) swap(a, b); P[a] += P[b]; P[b] = a; return true; } } uf; const int mod = 1e9 + 7; constexpr ll modpow(ll A, ll B) { ll kotae = 1; while (B > 0) { if (B & 1) kotae = kotae * A % mod; A = A * A % mod; B >>= 1; } return kotae; } vector > E[200001]; ll kotae = 0; int N, M, X; int dfs(int u, int mae) { int ret = 1; for (auto p : E[u]) { int to = p.first; if (mae != to) { ll tmp = dfs(to, u); kotae += tmp * (N - tmp) % mod * modpow(X, p.second) % mod; ret += tmp; } } return ret; } int main() { cin.tie(0); ios::sync_with_stdio(false); cin >> N >> M >> X; int x[200001], y[200001], z[200001]; rep1(i, M) { cin >> x[i] >> y[i] >> z[i]; if (uf.unite(x[i], y[i])) { E[x[i]].pb({ y[i], z[i] }); E[y[i]].pb({ x[i], z[i] }); } } dfs(1, -1); co(kotae% mod); Would you please return 0; }